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Finding the Fourth Proportional to 12,239.65, 16,891.38 and 7,204.30

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Solution

The fourth proportional to 12,239.65, 16,891.38 and 7,204.30 is: 9,942.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,239.65 : 16,891.38 = 7,204.30 : x
  2. Step 2: Convert to fraction form
    12,239.65/16,891.38 = 7,204.30/x
  3. Step 3: Cross multiply
    12,239.65x = 16,891.38 × 7,204.30
  4. Step 4: Simplify right side
    12,239.65x = 121,690,568.93
  5. Step 5: Solve for x
    x = 121,690,568.93/12,239.65
  6. Step 6: Final answer
    x = 9,942.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.